Cremona's table of elliptic curves

7392 = 2⁵ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 11-	Signs for the Atkin-Lehner involutions
Class	7392n	Isogeny class
Conductor	7392	Conductor
∏ cp	360	Product of Tamagawa factors cp
deg	80640	Modular degree for the optimal curve
Δ	-415076813389199808 = -1 · 26 · 36 · 73 · 1110	Discriminant
Eigenvalues	2- 3-  0 7- 11- -2  4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-24018,31022280]	[a1,a2,a3,a4,a6]
Generators	[-219:5082:1]	Generators of the group modulo torsion
j	-23942656868248000/6485575209206247	j-invariant
L	5.166048614346	L(r)(E,1)/r!
Ω	0.24325521102726	Real period
R	0.2359683885784	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7392a1 14784n1 22176e1 51744ca1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 7392n1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	0	-	-	-2	4	-6	-4	-2	10	-6	-12	-12	-6	-6	0	6	-4	-8	8	16	-2	10	-14

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Quadratic twists for elliptic curve 7392n1

-4	8	-3	-7	-11
7392a1	14784n1	22176e1	51744ca1	81312r1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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